You have $50,000 to invest in three stocks. Let R_i be the random variable representing the annual return on $1 invested in stock i. For example, if R_i = 0.12, then $1 invested in stock i at the beginning of a year is worth $1.12 at the end of the year. The means are E(R₁) = 0.17, E(R₂) = 0.15, and E(R₃) = 0.12. The variances are Var R₁ = 0.25, Var R₂ = 0.18, and Var R₃ = 0.14. The correlations are r₁₂ = 0.6, r₁₃ = 0.9, and r₂₃ = 0.7. Determine the minimum-variance portfolio that attains a mean annual return of at least 0.14. If needed, round your answers to three decimal digits.

Investment decision